Resolution of some paradoxes of propositions

• Autores: Harry Deutsch
• Localización: Analysis, ISSN-e 1467-8284, Vol. 74, Nº. 1, 2014, págs. 26-34
• Idioma: inglés
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• Resumen

  • Solutions to Russell’s paradox of propositions and to Kaplan’s paradox are proposed based on an extension of von Neumann’s method of avoiding paradox. It is shown that Russell’s ‘anti-Cantorian’ mappings can be preserved using this method, but Kaplan’s mapping cannot. In addition, several versions of the Epimenides paradox are discussed in light of von Neumann’s method.